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Joltin' Joe Assume that a baseball player hits .350, so his probability of a hit is 0.350. (Ignore the complications caused by walks.) Also assume that his hitting attempts are independent of each other.
a. Find the probability of at least 1 hit in 4 tries in 1 game.
b. Assuming that this batter gets up to bat 4 times each game, estimate the probability of getting a total of at least 56 hits in 56 games.
c. Assuming that this batter gets up to bat 4 times each game, find the probability of at least 1 hit in each of 56 consecutive games (Joe DiMaggio's 1941 record).
d. What minimum batting average would be required for the probability in part (c) to be greater than 0.1?
Giving Null and Research Hypothesis
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